Formalization of the Four Core Axioms of YuanXian Theory and the "All Things One Origin" Unified Framework: Integrating Self-Referential Mind-Field, General Relativity, and Mathematical Foundations

This paper systematically presents and integrates previous research achievements of YuanXian Theory (YXT), for the first time comprehensively formalizing its four core axioms in a single formal academic paper. It proposes an “All Things One Origin” unified theoretical framework that integrates the self-referential mind-field with an extended General Relativity (GR) and mathematical foundations. The axiom system takes True-Circle Self-Consistency (TCSC) as the highest meta-logical principle, successively establishing cosmic conservation, spacetime uniqueness, and the origin of consciousness, while demonstrating that the fine-structure constant is the core emergent parameter connecting physics, consciousness, and mathematics, derived from cosmic self-consistency. Based on this, a theoretical system is constructed with the 64-dimensional torus T^64 as the holographic substrate and the formalized self-referential mind-field ₒₑ as the dynamical ontology. Its low-energy classical limit naturally derives General Relativity and provides a self-consistent ontological explanation for quantum gravity, dark energy, and the origin of consciousness. The completion of this paper supplies a key comprehensive text and logical closure, advancing YuanXian Theory from an exploratory program to a strictly testable formal scientific theory. 本文系统阐述并整合了元宪理论 (Yuan-Xian Theory, YXT) 的系列前期研究成果, 首次在一篇正式论文中完整呈现其四大核心公理体系, 并由此提出一个融合“自指心场”与拓展的广义相对论 (GR) 的“万物一元”统一理论框架。该公理体系以“真圆自洽性”为最高元逻辑法则, 依次确立了宇宙的守恒性、时空的唯一性、意识的本源性, 并将精细结构常数论证为连接物理、意识与数学的、由宇宙自洽性导出的核心涌现参数。基于此, 我们构建了一个以64维环面T^64为全息基底、以形式化的自指心场ₒₑ为动力学本体的理论体系。其低能经典极限自然导出广义相对论, 并为量子引力、暗能量及意识起源提供了自洽的本体论解释。本文的完成为元宪理论从一个探索性纲领迈向可严格检验的形式科学理论提供了关键的综合文本与逻辑闭环。